Question

I've forgotten a lot of this so I need help along the way (step by step). Please help and be patient with me.

Answer 1

A solid cube of side length a has one corner at the origin and the opposite corner at
(a, a, a). A constant electric field E~ = E0(cos αyˆ + sin αzˆ) is present in that region of space. As the equation implies, the angle α is an angle in the yz plane. Determine the electric flux through each side of the cube and determine the net flux through the cube.

Answer 2

\[A_{1}=a^{2}y\]
\[A_{2}=a^{2}(-y)\]
\[A_{3}=a^{2}x\]
\[A_{4}=a^{2}(-x)\]
\[A_{5}=a^{2}z\]
\[A_{6}=a^{2}(-z)\]

Answer 3

now I need to find?
\[\phi _{E}\]